What is the Greatest Common Factor of 1059 and 1071?

Greatest common factor (GCF) of 1059 and 1071 is 3.

GCF(1059,1071) = 3

We will now calculate the prime factors of 1059 and 1071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1059 and 1071.

How to find the GCF of 1059 and 1071?

We will first find the prime factorization of 1059 and 1071. After we will calculate the factors of 1059 and 1071 and find the biggest common factor number .

Step-1: Prime Factorization of 1059

Prime factors of 1059 are 3, 353. Prime factorization of 1059 in exponential form is:

1059 = 3¹ × 353¹

Step-2: Prime Factorization of 1071

Prime factors of 1071 are 3, 7, 17. Prime factorization of 1071 in exponential form is:

1071 = 3² × 7¹ × 17¹

Step-3: Factors of 1059

List of positive integer factors of 1059 that divides 1059 without a remainder.

1, 3, 353

Step-4: Factors of 1071

List of positive integer factors of 1071 that divides 1059 without a remainder.

1, 3, 7, 9, 17, 21, 51, 63, 119, 153, 357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1059 and 1071. The biggest common factor number is the GCF number.
So the greatest common factor 1059 and 1071 is 3.

Also check out the Least Common Multiple of 1059 and 1071